FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Q-Factor of Loaded Resonator Circuit Formula

Fx Copy

LaTeX Copy

Q Factor of Loaded Resonator Circuit is a dimensionless parameter that describes how underdamped an oscillator or resonator is. Check FAQs

Q i = \frac{ω o \cdot C v}{G r + G}

Q_i - Q Factor of Loaded Resonator Circuit?ω_o - Resonant Angular Frequency?C_v - Capacitance at Vane Tips?G_r - Resonator Conductance?G - Conductance of Cavity?

Q-Factor of Loaded Resonator Circuit Example

With values

With units

Only example

Here is how the Q-Factor of Loaded Resonator Circuit equation looks like with Values.

Here is how the Q-Factor of Loaded Resonator Circuit equation looks like with Units.

Here is how the Q-Factor of Loaded Resonator Circuit equation looks like.

642.5234 = \frac{5.5E+10 \cdot 2.5}{0.0002 + 1.4E-5}

642.5234 = \frac{5.5E+10rad/s \cdot 2.5pF}{0.0002S + 1.4E-5S}

642.5234 = \frac{5.5E+10 \cdot 2.5}{0.0002 + 1.4E-5}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electronics » Category

Microwave Theory » fx Q-Factor of Loaded Resonator Circuit

Q-Factor of Loaded Resonator Circuit Solution

Follow our step by step solution on how to calculate Q-Factor of Loaded Resonator Circuit?

FIRST Step Consider the formula

Q i = \frac{ω o \cdot C v}{G r + G}

Next Step Substitute values of Variables

∴

Q i = \frac{5.5E+10rad/s \cdot 2.5pF}{0.0002S + 1.4E-5S}

Next Step Convert Units

∴

Q i = \frac{5.5E+10rad/s \cdot 2.5E-12F}{0.0002S + 1.4E-5S}

Next Step Prepare to Evaluate

∴

Q i = \frac{5.5E+10 \cdot 2.5E-12}{0.0002 + 1.4E-5}

Next Step Evaluate

∴

Q i = 642.523364485981

LAST Step Rounding Answer

∴

Q i = 642.5234

Q-Factor of Loaded Resonator Circuit Formula Elements

Variables

Q Factor of Loaded Resonator Circuit

Q Factor of Loaded Resonator Circuit is a dimensionless parameter that describes how underdamped an oscillator or resonator is.

Symbol: Q_i

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Q Factor of Loaded Resonator Circuit

Resonant Angular Frequency

Resonant Angular Frequency is the frequency at which a resonant system vibrates with maximum amplitude when it is excited by an external force, expressed in radians per second.

Symbol: ω_o

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Resonant Angular Frequency

Capacitance at Vane Tips

Capacitance at Vane Tips is defined as the ratio of the amount of electric charge stored on a conductor to a difference in electric potential at the vane tips.

Symbol: C_v

Measurement: CapacitanceUnit: pF

Note: Value should be greater than 0.

Formulas to find Capacitance at Vane Tips

Resonator Conductance

Resonator Conductance is the reciprocal of the resonator impedance and is often used to characterize the quality of a resonant cavity.

Symbol: G_r

Measurement: Electric ConductanceUnit: S

Note: Value should be greater than 0.

Formulas to find Resonator Conductance

Conductance of Cavity

Conductance of Cavity can be expressed as the ratio of the current flowing through the cavity to the voltage across it. It is typically measured in units of siemens (S).

Symbol: G

Measurement: Electric ConductanceUnit: S

Note: Value should be greater than 0.

Formulas to find Conductance of Cavity

Other formulas in Q Factor category

Go Q-Factor of Loaded Catcher Cavity

Q L = (\frac{1}{Q o}) + (\frac{1}{Q b}) + (\frac{1}{Q el})

Go Quality Factor of Cavity Resonator

Q c = \frac{ω r}{f 2 - f 1}

Go Q-Factor of Catcher Wall

Q o = \frac{1}{Q L - (\frac{1}{Q b}) - (\frac{1}{Q el})}

Go Q-Factor of Beam Loading

Q b = \frac{1}{Q L - (\frac{1}{Q o}) - (\frac{1}{Q el})}

How to Evaluate Q-Factor of Loaded Resonator Circuit?

Q-Factor of Loaded Resonator Circuit evaluator uses Q Factor of Loaded Resonator Circuit = (Resonant Angular Frequency*Capacitance at Vane Tips)/(Resonator Conductance+Conductance of Cavity) to evaluate the Q Factor of Loaded Resonator Circuit, The Q-factor of loaded resonator circuit formula is defined as the quality factor or Q factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is. Q Factor of Loaded Resonator Circuit is denoted by Q_i symbol.

How to evaluate Q-Factor of Loaded Resonator Circuit using this online evaluator? To use this online evaluator for Q-Factor of Loaded Resonator Circuit, enter Resonant Angular Frequency (ω_o), Capacitance at Vane Tips (C_v), Resonator Conductance (G_r) & Conductance of Cavity (G) and hit the calculate button.

FAQs on Q-Factor of Loaded Resonator Circuit

What is the formula to find Q-Factor of Loaded Resonator Circuit?

The formula of Q-Factor of Loaded Resonator Circuit is expressed as Q Factor of Loaded Resonator Circuit = (Resonant Angular Frequency*Capacitance at Vane Tips)/(Resonator Conductance+Conductance of Cavity). Here is an example- 642.5234 = (55000000000*2.5E-12)/(0.0002+1.4E-05).

How to calculate Q-Factor of Loaded Resonator Circuit?

With Resonant Angular Frequency (ω_o), Capacitance at Vane Tips (C_v), Resonator Conductance (G_r) & Conductance of Cavity (G) we can find Q-Factor of Loaded Resonator Circuit using the formula - Q Factor of Loaded Resonator Circuit = (Resonant Angular Frequency*Capacitance at Vane Tips)/(Resonator Conductance+Conductance of Cavity).

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Q-Factor of Loaded Resonator Circuit Formula

Q-Factor of Loaded Resonator Circuit Example

Q-Factor of Loaded Resonator Circuit Solution

Q-Factor of Loaded Resonator Circuit Formula Elements

Other formulas in Q Factor category

How to Evaluate Q-Factor of Loaded Resonator Circuit?

FAQs on Q-Factor of Loaded Resonator Circuit

Variable Name